The negation of the inverse of the statement $\sim p \lor q$ is...

Negation of the statement $(p \vee r) \Rightarrow (q \vee r)$ is :

Let $p$ and $q$ be two statements. Amongst the following,the statement that is equivalent to $p \to q$ is

Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow (\sim q \vee r)$ is $F$. Then the truth values of $p, q, r$ are respectively:

If the truth value of $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then which of the following is $NOT$ true?

Show that the statement $p:$ 'If $x$ is a real number such that $x^{3}+4x=0$,then $x$ is $0$' is true by the method of contradiction.